Jacobi-like forms for a discrete subgroup Γ of SL(2,ℝ) are formal power series which generalize Jacobi forms, and they correspond to certain sequences of modular forms for Γ. Given a modular form f, a Jacobi-like form can be constructed by using constant multiples of derivatives of f as coefficients, which is known as the Cohen-Kuznetsov lifting of f. We extend Cohen-Kuznetsov liftings to quasimodular forms by determining an explicit formula for a Jacobi-like form associated to a quasimodular form.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-aa171-3-3,
author = {Min Ho Lee},
title = {Cohen-Kuznetsov liftings of quasimodular forms},
journal = {Acta Arithmetica},
volume = {168},
year = {2015},
pages = {241-256},
zbl = {06498809},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa171-3-3}
}
Min Ho Lee. Cohen-Kuznetsov liftings of quasimodular forms. Acta Arithmetica, Tome 168 (2015) pp. 241-256. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa171-3-3/